Stitches of Violet: Hedonist Cardinal SocksBeautiful Knitting Patterns by Gisela Klopper. It's a simple 8 stitch knit purl pattern with a knit 7 purl 1 ribbing base. Easy to memorize and interesting to look at.
Right Side/The Roman Stitch provides a striking and simple pattern. Made using only knits and purls, it makes a great pattern for a novice knitter working to stretch their skills. Forming a subtle stripe pattern, it would look great on hats and sweaters.